Lect1_hbari - Lecture 1 Demystifying h and i We are often...

Info icon This preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
Lecture 1: Demystifying h and i •We are often told that the presence of h distinguishes quantum from classical theories. •One of the striking features of Schrödinger's equation is the fact that the variable, Ψ , is complex, whereas classical theories deal with real variables QM: CM: CE&M: d dt x ( t ) = p H ( x , p ) d dt p ( t ) = x H ( x , p ) d dt v E ( v r , t ) = 1 c 2 v × v B ( v r , t ) d dt v B ( v r , t ) = v × v E ( v r , t )
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
•Q: Is h necessary at all? •By changing units we can of course make h disappear from QM •But if it is truly fundamental, shouldn’t this same choice of units make h appear then in CM? •If system has natural length scale and energy scale, then h is needed to relate then to the natural mass scale. i t ψ ( ρ , t ) = 1 2 m 0 m 2 ∂ρ 2 ψ ( ρ , t ) + u ( ρ ) ψ ( ρ , t )
Image of page 2
•What happens to CM in these units? •Same mass scale makes CM dimensionless as well !
Image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
•Q: Are Maxwell’s Eq’s ‘classical’ or ‘quantum’?
Image of page 4
Image of page 5
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern